625
625 is a odd composite number that follows 624 and precedes 626. It is composed of 5 distinct factors: 1, 5, 25, 125, 625. Its prime factorization can be written as 5^4. 625 is classified as a deficient number based on the sum of its proper divisors. In computer science, 625 is represented as 1001110001 in binary and 271 in hexadecimal. Historically, it is written as DCXXV in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
5 FactorsProperties
The prime factorization (5^4) reveals 4 prime building blocks.
Divisible by 2
625 ends in 5, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
625 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
625 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 625 within several notable number theory sequences:
Timeline
Deep dive
How 625 breaks down
625 carries 5 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 156, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110001 supports bitwise reasoning, hexadecimal 271 aligns with computing notation, and the Roman numeral DCXXV keeps the encyclopedic tradition alive. These attributes make 625 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 625 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (620–630) to tune search ranges, and educators feature 625 in worksheets about factor trees. Its binary footprint of length 10 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Perfect squares) help historians, numerologists, and trivia writers tie 625 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 625
Is 625 a prime number?
625 is composite with 5 total factors and the prime factorization 5^4.
What is the prime factorization of 625?
It breaks down as 5^4, multiplying the primes 5 × 5 × 5 × 5.
How is 625 represented in binary and hexadecimal?
625 converts to 1001110001 in binary and 271 in hexadecimal, which are helpful for computer science applications.
Is 625 a perfect square, cube, or triangular number?
625 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 625?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.